The volume of a conical tent is 1232 m³ and the area of the base floor is 154 m². Calculate the :

(i) radius of the floor,

(ii) height of the tent,

(iii) length of the canvas required to cover this conical tent if its width is 2 m.

A solid metallic sphere of radius 16 cm is melted to form small identical spheres each of diameter 4 cm. The number of spheres formed is :

1. 64

2. 252

3. 512

4. 1024

The ratio between the volumes of two spherical solids is 27 : 8. The ratio between their curved surface areas is :

1. 27 : 8

2. 8 : 27

3. 3 : 2

4. 9 : 4

A solid metallic sphere of radius 8 cm is melted and recast into 64 identical solid spheres. The diameter of each smaller sphere formed is :

1. 4 cm

2. 2 cm

3. 8 cm

4. 1 cm